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The caffeine content of a random sample of 81 cups of black coffee dispensed by a new machine is measured. The mean and standard deviation

The caffeine content of a random sample of 81 cups of black coffee dispensed by a new machine is measured. The mean and standard deviation for the sample are 110 mg and 5.0 mg, respectively. The manufacturer of the machine claims that the average caffeine content per cup is 109 mg. Do you believe that the manufacturer's claim is valid or invalid at 0.05 level of significance?

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